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Finding the Third Proportional to 74,860 and 112,594

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Solution

The third proportional to 74,860 and 112,594 is: 169,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,860 : 112,594 = 112,594 : x
  2. Step 2: Convert to fraction form
    74,860/112,594 = 112,594/x
  3. Step 3: Cross multiply
    74,860x = 112,594 × 112,594
  4. Step 4: Simplify right side
    74,860x = 12,677,408,836
  5. Step 5: Solve for x
    x = 12,677,408,836/74,860
  6. Step 6: Final answer
    x = 169,348.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.